1. The problem statement, all variables and given/known data 1. The sample space Ω of a certain experiment are the values 1, 2, 3, 4 and 5 and the probability assigned to a possible value w is proportional to w2. (a) What is the probability mass function p(w) for this probability space? (b) What probability does this mass function assign to the interval (1; 3]? 2. Relevant equations 3. The attempt at a solution The hardest part for me to understand is the probabilities being proportional to w2. I believe the probabilities for w are 1/15, 2/15, 3/15, 4/15 and 5/15, but I'm not sure. If somebody could clear this up for me it would really help. What does it mean for w to be proportional to w2?